Sampling and Sampling Distributions Quiz – 7

1. When sampling is done with replacement, then $\mu_{s^2}$ is equal to

2. In sampling with replacement, $\sigma_{\overline{X}_1 – \overline{X}_2}$ is equal to

3. In sampling without replacement, $\mu_{s^2}$ is equal to

4. The distribution of the means of samples of size 4, taken from a population with a standard deviation $\sigma$, has a standard deviation of

5. If $X$ represent the number of units having the specified characteristic and $n$ is the size of the sample then sample proportion $\hat{p}$ is equal to

6. If $E(\overline{X})=10$ and $\mu=10$ then bias is equal to

7. When sampling is done without replacement $\sigma_{\overline{X}}$ is equal to

8. When sampling is done with or without replacement, $\mu_{\overline{X}_1-\overline{X}_2}$ is equal to

9. If $\overline{X}=10$ and $\mu=12$ then sampling error is

10. If $X$ represent the number of units having the specified characteristic and $N$ is the size of the population, then population proportion $p$ is equal to

11. In case of sampling with replacement, $E(S^2)$ is equal to

12. $s^2=\frac{\sum(X-\overline{X})^2}{n-1}$ is called

13. In sampling without replacement, the standard error of sampling distribution of sample proportion $\hat{p}$ is equal to

14. When sampling is done with or without replacement, $E(\hat{p}_1 – \hat{p}_2)$ is equal to

15. If $E(s^2)=3$ and $\sigma^2=2$ then bias will be

16. In case of sampling with replacement $\sigma_{\hat{p}_1 – \hat{p}_2}$ is equal to

17. $S^2=\frac{\sum (X-\overline{X})^2}{n}$ is called

18. The standard deviation of the distribution of sample means is equal to

19. If $n=25$, $\sigma^2=25$, and $\overline{X}=25$, then standard error of $\overline{X}$ will be

20. In sampling without replacement, the expected value of $S^2$ is equal to